xy^2dx+x^2ydy=0

Lösung

x y^{2} d x + x^{2} y d y = 0

y = \frac{c _{1}}{x}

Schritte zur Lösung

x y^{2} d x + x^{2} y d y = 0

Solve separable ODE:

y = \frac{c _{1}}{x}

y = \frac{c _{1}}{x}

2 y d y = (x^{2} + 1) d x

y^{^{'}} - x y = 0

(y^{2} + y) d x - x d y = 0

\frac{d y}{d x} = 2 (1 + x) (1 + y^{2})

2 x y + 6 x + (x^{2} - 9) y^{^{'}} = 0